Answer:
Step-by-step explanation:
2)
a) elimination method
b) substitution method
c) substitution method
For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.
For the second part we can substitute y as 2x+5 in the second equation and solve for x.
For the third part we can substitute y as 4x+3 in the first equation and solve for x.
3)
For this fraction, we have (3x+2) in both the numerator and the denominator. So, they will be cancelled together.
Then we can notice that we can divide the coefficients in the numerator and the denominator by 9 as 36/9 = 4 and 9/9 = 1
So, the expression now becomes:
(x+7) / 4(x-5) which is the simplest form.
Answer:
13) 2 g
14) 5,000 mL
15) 104,000 m
16) 160 mm
17) 5,600,000 mg
19) 0.25 km
Step-by-step explanation:
13. Convert 2,000 mg to g:
1 mg = 0.001 g
(2,000 mg * 0.001 g) / 1 mg = 2 g
14. Convert 5 L to mL:
1 L = 1000 mL
(5 L * 1000 mL) / 1 L = 5,000 mL
15. Convert 104 km to m:
1 km = 1000 m
(104 km * 1000 m) / 1 km = 104,000 m
16. Convert 16 cm to mm:
1 cm = 10 mm
(16 cm * 10 mm) / 1 cm = 160 mm
17. Convert 5.6 kg to mg:
1 kg = 1,000,000 mg
(5.6 kg * 1,000,000 mg) / 1 kg = 5,600,000 mg
19) Convert 250 m to km:
1 m = 0.001 km
(250 m * 0.001 km) / 1 m = 0.25 km
The measure of an interior angle of a regular pentagon is 108 degrees.
The new value after the original value is increased by 30% is 1.3 times the original value.
<h3>
Percentage</h3>
Percentage is used to express a fraction number or decimal in fraction of hundred. It is given by:
Percentage = [(new value - original value) / original value] * 100%
Let x represent the new value and y represent the original value, hence:
30% = [(x - y)/y] * 100%
0.3 = (x - y)/y
x - y = 0.3y
x = 1.3y
The new value after the original value is increased by 30% is 1.3 times the original value.
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